3 bedrooms within lower manhattan (below 96th street East Side and 110th street west side), are difficult to find however, I have at least 4 and they start at $3000 in the east village. I have one in the heart of the upper east side in the 60's just off of Lexington too. They're not easy to find but, they're out there!
Talk to your agent if you have one that you trust and if not, feel free to ask me any questions you'd like.
All the best,